Thermal Behavior of a Multi-layered Thin Slab Carrying Periodic Signals Under the Effect of the Dual-Phase-Lag Heat Conduction Model

Yang

2015

Proc. R. Soc. A.

ResearchCite this article: Wang B, Li JE, Yang C. 2015 Thermal shock fracture mechanics analysis of a semi-infinite medium based on the dual-phase-lag heat conduction model. The generalized lagging behaviour in solids is very important in understanding heat conduction in smallscale and high-rate heating. In this paper, an edge crack in a semi-infinite medium subjected to a heat shock on its surface is studied under the framework of the dual-phase-lag (DPL) heat conduction model. The transient thermal stress in the medium without crack is obtained first. This stress is used as the crack surface traction with an opposite sign to formulate the crack problem. Numerical results of thermal stress intensity factor are obtained as the functions of crack length and thermal shock time. Crack propagation predictions are conducted and results based on the DPL model and those based on the classical Fourier heat conduction model are compared. The thermal shock strength that the medium can sustain without catastrophic failure is established according to the maximum local stress criterion and the stress intensity factor criterion.

Section: Introductionmentioning

confidence: 99%

Thermal shock fracture mechanics analysis of a semi-infinite medium based on the dual-phase-lag heat conduction model

Yang

2015

Proc. R. Soc. A.

“…It is assumed that the material is transversely isotropic in the r-θ plane. Constitutive equations of the materials in cylindrical coordinate system are σ rr = c 11 ∂u ∂r…”

Section: Basic Governing Equationsmentioning

confidence: 99%

“…In addition, hyperbolic heat conduction with temperature-dependent thermal conductivity, specific heat and thermal diffusivity was also studied [10]. In addition, numerical methods for relatively complicated problems such as multilayered media were also developed [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Transient thermal cracking associated with non-classical heat conduction in cylindrical coordinate system

2013

Acta Mech Sin

This paper studies the fracture behavior of a thermoelastic cylinder subjected to a sudden temperature change on its outer surface within the framework of non-classical heat conduction. The heat conduction equation is solved by separation of variable technique. Closed form solution for the temperature field and the associated thermal stress are established. The critical parameter governing the level of the transient thermal stress is identified. Exact expression for the transient stress intensity factor is obtained for a crack in the cylinder. The difference between the non-classical solutions and the classical solution are discussed. It is found that the traditional classical heat conduction considerably underestimates the transient thermal stress and thermal stress intensity factor.

“…To better describe the wave-like behaviour of heat conduction, instead of using Fourier law, the hyperbolic equation, which takes finite heat travelling speed into account, was presented as a constitutive equation that was coupled with the local energy balance [21,22]. Since then, considerable effort has been devoted to the solutions for the non-Fourier heat conduction equation for the cases of one-dimensional heat media [23][24][25][26][27][28], semi-infinite media [29] and layered composite media [30,31]. Further, temperature dependence of the thermal conductivity, specific heat and thermal diffusivity was also studied [32].…”

Section: Introductionmentioning

confidence: 99%

Thermal shock resistance of solids associated with hyperbolic heat conduction theory

2013

Proc. R. Soc. A.

The thermal shock resistance of solids is analysed for a plate subjected to a sudden temperature change under the framework of hyperbolic, nonFourier heat conduction. The closed form solution for the temperature field and the associated thermal stress are obtained for the plate without cracking. The transient thermal stress intensity factors are obtained through a weight function method. The maximum thermal shock temperature that the plate can sustain without catastrophic failure is obtained according to the two distinct criteria: (i) maximum local tensile stress criterion and (ii) maximum stress intensity factor criterion. The difference between the non-Fourier solutions and the classical Fourier solution is discussed. The traditional Fourier heat conduction considerably overestimates the thermal shock resistance of the solid. This confirms the fact that introduction of the non-Fourier heat conduction model is essential in the evaluation of thermal shock resistance of solids.